MakeSPheno ignores indices of VEVs in RGE routine

[ituran]

Dear Florian,

I am working on an extension of MSSM-RPV-LnV where the sneutrinos get VEVs as vL[1], vL[2], and vL[3]. The mathematica RGEs are fine as usual.
The relevant part of betaVEV.m looks like

{vL[i1], -(hr1[i1]*sum[j1, 1, 3, conj[hr1[j1]]*vL[j1]]) - hr2[i1]*sum[j1, 1, 3, conj[hr2[j1]]*vL[j1]] -
sum[j2, 1, 3, sum[j1, 1, 3, conj[Ye[j1, j2]]*Ye[j1, i1]]*vL[j2]] + sum[j3, 1, 3, sum[j2, 1, 3, sum[j1, 1, 3, conj[L1[j1, j2, j3]]*
L1[i1, j1, j3]]*vL[j2]]] - 3*sum[j3, 1, 3, sum[j2, 1, 3, sum[j1, 1, 3, conj[L2[j2, j1, j3]]*L2[i1, j1, j3]]*vL[j2]]] + (3*g1^2*vL[i1])/20 + (3*g2^2*vL[i1])/4 +
gp^2*Ql^2*vL[i1] + (3*g1^2*Xi*vL[i1])/20 + (3*g2^2*Xi*vL[i1])/4 + gp^2*Ql^2*Xi*vL[i1], ...}

However, MakeSPheno (which runs with no issue) gives the file RGEs_XXX.f90 where the relevant part now reads

betavL1 = L11CL11vL + L12CL12vL + L13CL13vL - 3._dp*(L21adjL21vL) - 3._dp*(L22adjL22vL)&
& - 3._dp*(L23adjL23vL) - hr1*SPvLxxChr1 - hr2*SPvLxxChr2 - TpYeCYevL + (3*g1p2*vL) &
& /20._dp + (3*g2p2*vL)/4._dp + gpp2*Qlp2*vL + (3*g1p2*vL*Xi)/20._dp + (3*g2p2*vL*Xi) &
& /4._dp + gpp2*Qlp2*vL*Xi

It is expected to see functions like betavL1[i1], betavL2[i1] etc. Is this a bug, or am I missing something here?

Please see the attached file for further details.

Thank you very much for your time

Best wishes,
Ismail

to_forum.zip

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[FStaub]

Hi,

betaVL1 and betaVL2 should be a vector. Looking at another model (MSSM-RpV-Bi) which I have right now in front of me, I see:

Code: Select all

Real(dp) ::  ... ,vL(3),betavL1(3),betavL2(3),DvL(3)

That looks fine, doesn't it?

Cheers,
Florian

[ituran]

Dear Florian,

Thank you for the answer. You are right that betavL1, betavL2 are defined as vectors and also the code from the MSSM-RpV-Bi uses these vectors as betavL1, betavL2 by suppressing their indices (without using an explicit do loop). My confusion comes from the similar code from another model from the database (MSSM-RPV-LnV) where that part is written as

Do i1 = 1,3
betavL1(i1) = -3*vd*CYdTpL21(1,i1) - 3*vd*CYdTpL22(2,i1) ...

What I understand from your answer is that either (with or without the do loop) is fine and defines the components of betavL1 etc properly, right?
If I look at these in detail, for the MSSM-RpV-Bi case each term in the right hands side is simply a vector while in the above MSSM-RPV-LnV case the terms are with two indices which cannot be simplified further. I guess I get the point.

Thank you for the clarification,
Best regards,
Ismail

[FStaub]

Exactly, the LnV model is special because of the presence of couplings with three indices. Therefore, one can't express the rges just by matrix and vector multiplication.

Cheers
Florian